//https://www.hackerrank.com/contests/rookierank/challenges/antiprime-numbers
#include<iostream>
#include<algorithm>
#include<cstring>
using namespace std;
int main() {
    
    int arr[80] = {1,2,4,6,12,24,36,48,60,120,180,240,360,720,840,1260,1680,2520,5040,7560,10080
        ,15120,20160,25200,27720,45360,50400,55440,83160,110880,166320,221760,277200,332640,498960
        ,554400,665280,720720,1081080,1441440,2162160,2882880,3603600,4324320,6486480,7207200,8648640
        ,10810800,14414400,17297280,21621600,32432400,36756720,43243200,61261200,73513440,110270160,122522400,147026880};
    
    int a, b;
    cin >> a;
    while(a--){
        cin >> b;
        for(int i = 0; i < 80; ++i){
            if(arr[i] >= b){
                cout << arr[i] << endl;
                break;
            }
        }
    }
}


